On the distance between adjacent zeros of solutions of first order differential equations with distributed delays
We estimate the distance between adjacent zeros of all solutions of the first order differential equation \[ x'(t)+\int_{h(t)}^{t}x(s)d_sR(t,s)=0. \] This form makes it possible to study equations with both discrete and continuous distributions of the delays. The obtained results are new and im...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Szeged
2015-02-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Subjects: | |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=3881 |
| Summary: | We estimate the distance between adjacent zeros of all solutions of the first order differential equation
\[
x'(t)+\int_{h(t)}^{t}x(s)d_sR(t,s)=0.
\]
This form makes it possible to study equations with both discrete and continuous distributions of the delays. The obtained results are new and improve several known estimations. Some illustrative examples are given to show the advantages of our results over the known ones. |
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| ISSN: | 1417-3875 1417-3875 |